SOLUTION: If triangle A'B'C' is the image of ABC after a dilation using a scale factor of 2 with respect to the origin, how many square units are in the area of triangle A'B'C'? The measure

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Question 660149: If triangle A'B'C' is the image of ABC after a dilation using a scale factor of 2 with respect to the origin, how many square units are in the area of triangle A'B'C'? The measures are A(-4, 7), B(3, -2), and C(8, -2).
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle ABC has a horizontal side BC of length 8-3=5 which we can take as the base, with a height of h=7-%28-2%29=9
The area of triangle ABC is base%2Aheight%2F2=5%2A9%2F2=45%2F2=22.5
Dilating the triangle by a factor of 2,
dilates every side (and base and height) by a factor of 2,
and it increases the area by a factor of 2%5E2=4.
So the area of the dilated triangle is
4%2A45%2F2=highlight%2890%29